GIF images are compressed using the Lempel-Ziv-Welch (LZW) algorithm, which is a patented format. As such, GIF files embed various Digital Right Management (DRM) mechanisms which restrict operations like printing.

You need to print onto animated paper. This is the magical sort of paper which old-time Disney animators used to use when making cartoons. Sadly, with the advent of computer animation, animated paper has become something of a scarcity in recent years.